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Rudiy27
3 years ago
12

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plu

s a one-time food fee of $5. Which system represents this real-world situation?
Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

Let <em>x</em> represent the number of days.

Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:

y=20x+15

Where <em>y</em> represents the total cost, <em>20x</em> represents the cost for staying <em>x</em> days and <em>15</em> is the initial one-time fee.

For Bark Time Hotel, similarly:

y=30x+5

Again, <em>y</em> represents the total cost, <em>30x</em> represents the cost for staying <em>x</em> days, and <em>5</em> is the initial one-time fee.

Thus, the system of equations is:

y=20x+15\\y=30x+5

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Answer:

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5 0
3 years ago
A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.
Evgesh-ka [11]
An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it? 
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And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0
3 years ago
Which expressions are equivalent to (4⋅a)⋅2 ?
anastassius [24]
<span>(4⋅a)⋅2
= 8a

hope it helps</span>
7 0
3 years ago
What number is 35% of 22?
Licemer1 [7]
- - To find a  "what number is x% of x"
You have to first change 35% into a decimal.

35%=0.35
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Therefore your final answer is 7.7


8 0
3 years ago
Read 2 more answers
Please help show work also
Diano4ka-milaya [45]

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

The marked angles are <em>alternate interior angles</em>, so are congruent.

  8x -4 = 60

  8x = 64 . . . . . . . . . . add 4 to both sides

  x = 64/8 = 8 . . . . . . divide both sides by 8

The value of x is 8.

3 0
3 years ago
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